Finding the Fourth Proportional to 2,427.72, 3,642.18 and 784.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.72 : 3,642.18 = 784.22 : x
2. Step 2: Convert to fraction form
   2,427.72/3,642.18 = 784.22/x
3. Step 3: Cross multiply
   2,427.72x = 3,642.18 × 784.22
4. Step 4: Simplify right side
   2,427.72x = 2,856,270.40
5. Step 5: Solve for x
   x = 2,856,270.40/2,427.72
6. Step 6: Final answer
   x = 1,176.52